Certain properties of rational functions involving Bessel functions

Let $g_{upsilon}(z)$ be the classical Bessel function of the first kind of order $upsilon$ and $f$ be an analytic function defined on the unit disc $Delta$. Suppose the operator $H(f)$ be defined by $H(f)(z)=frac{z}{frac{z}{f(z)}*frac{g_{upsilon}(z)}{z}}$. In this paper we identify subfamily $M_{n}(alpha,eta)$ of univalent functions and obtain conditions on the parameter $upsilon$ such that $fin M_{n}(alpha,eta)$ implies $H(f)in M_{n}(alpha,eta)$